Minimal polynomials of elements of order \(p\) in irreducible representations of Chevalley groups over fields of characteristic \(p\)
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Publication:1972815
zbMath0941.20049MaRDI QIDQ1972815
Publication date: 13 April 2000
Published in: Siberian Advances in Mathematics (Search for Journal in Brave)
Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05)
Related Items (11)
On Jordan blocks of elements of order \(p\) in irreducible representations of classical groups with \(p\)-large highest weights ⋮ Unnamed Item ⋮ In memoriam: Irina Dmitrievna Suprunenko (1954--2022) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the Jordan block structure of images of some unipotent elements in modular irreducible representations of the classical algebraic groups. ⋮ On an asymptotic behavior of elements of order 𝑝 in irreducible representations of the classical algebraic groups with large enough highest weights ⋮ On the block structure of regular unipotent elements from subsystem subgroups of type \(A_1\times A_2\) in representations of the special linear group. ⋮ Unipotent elements of nonprime order in representations of the classical algebraic groups: two big Jordan blocks. ⋮ Regular unipotent elements from subsystem subgroups of rank 2 in modular representations of classical groups. ⋮ On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups.
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